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Finding the Third Proportional to 26,031.38 and 36,374.06

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Solution

The third proportional to 26,031.38 and 36,374.06 is: 50,826.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,031.38 : 36,374.06 = 36,374.06 : x
  2. Step 2: Convert to fraction form
    26,031.38/36,374.06 = 36,374.06/x
  3. Step 3: Cross multiply
    26,031.38x = 36,374.06 × 36,374.06
  4. Step 4: Simplify right side
    26,031.38x = 1,323,072,422.75
  5. Step 5: Solve for x
    x = 1,323,072,422.75/26,031.38
  6. Step 6: Final answer
    x = 50,826.07

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.